New Problem: Boa Constrictor

Text from my brain. Physics from:
Introduction to Classical Mechanics: With Problems and Solutions

A boa constrictor is squeezing you to death. By the way, you are a cylinder. The constrictor has wrapped around you by some angle $\theta$. Your friend Joe grabs the tail of the boa constrictor and starts pulling. He is trying to save your life. Your other friend Debbie grabs the head of the boa constrictor and starts pulling. She was just feeling left out of the excitement.

Debbie is pulling harder than Joe, because Joe is a midget. He also has Down Syndrome. Question: given that Joe is pulling on the tail of the boa constrictor with a force $F_{Joe}$, how hard must Debbie pull, as a function of $\theta$ and the coefficient of static friction, $\mu$, between you and the snake, in order to get the snake to slip across your body? (see awesome diagram for purposes of clarification/divine afflatus (I got that word from the thesaurus so I would sound smart))

You, being semi-squeezed to death by your snakes and friends.